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{'Nk2': 20972, 'analytic_conductor': 41.865565779757304, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[7, -1], [107, -1]], 'atkin_lehner_string': '--', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [5243, 1, [2355, 4068], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 7, 'field_disc': 890531404, 'field_disc_factorization': [[2, 2], [7, 1], [1667, 1], [19079, 1]], 'field_poly': [8, -20, -12, 29, 7, -10, -1, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': 1, 'has_non_self_twist': 0, 'hecke_cutters': [[2, [-8, -20, 12, 29, -7, -10, 1, 1]], [3, [-29, 12, 69, 14, -29, -9, 3, 1]]], 'hecke_orbit': 7, 'hecke_orbit_code': 27021597797782651, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '5243.2.a.g', 'level': 5243, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [7, 107], 'level_radical': 749, 'minimal_twist': '107.2.a.b', 'prim_orbit_index': 1, 'qexp_display': 'q-\\beta _{1}q^{2}-\\beta _{3}q^{3}+(1-\\beta _{2}+\\beta _{5})q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 7, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '5243.2.a', 'trace_display': [-1, -3, -5, 0], 'trace_hash': 1618224256626036625, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '6.345', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '121.600', 'prec': 24}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3895.528', 'prec': 27}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.006', 'prec': 17}, 'traces': [7, -1, -3, 7, -5, 5, 0, -6, 6, 1, -2, -6, -18, 0, -9, -1, 1, -17, 4, 10, 0, -5, 0, 31, 8, 22, -3, 0, -3, -8, -4, -13, 6, 0, 0, 14, 25, -18, 5, -13, 0, 0, 11, -17, -25, 1, 9, -19, 0, 7, -8, -44, 8, 35, 13, 0, -3, 35, 19, 9, -25, -23, 0, -18, 8, -63, -24, -11, 0, 0, -19, -15, -30, -17, 41, -4, 0, -18, -21, -19, -17, -6, -12, 0, 2, 31, 15, -8, 22, 36, 0, -7, 9, -16, -44, -2, 4, 0, -52, -38, -10, -9, -3, 52, 0, -11, 7, -77, -10, -33, -5, 0, -35, 4, -1, 29, -37, -21, 0, -51, 9, -27, -14, 35, -18, 0, 2, 43, 47, -26, 36, 46, 0, -8, 3, 1, 14, -43, 11, 0, 20, -57, -6, 53, 15, -57, 0, 24, 7, -94, -21, -30, 36, 0, 37, 116, -85, -19, -70, 28, 0, -66, 8, -40, 25, 71, 42, 0, 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'embedding_root_real': 0.4006810875645436, 'hecke_orbit': 7, 'hecke_orbit_code': 27021597797782651, 'label': '5243.2.a.g.1.4', 'level': 5243, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [77, 101, 101, 83], 'ALdims_eis_new': [0, 0, 0, 0], 'ALdims_eis_old': [3, 4, 4, 4], 'ALdims_old': [36, 35, 35, 29], 'Nk2': 20972, 'analytic_conductor': 41.865565779757304, 'char_conductor': 1, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [5243, 1, [2355, 4068], [1, 1]], 'conrey_index': 1, 'cusp_dim': 497, 'dim': 362, 'eis_dim': 15, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 3], 'hecke_orbit_code': 33559675, 'hecke_orbit_dims': [1, 2, 4, 4, 6, 6, 7, 10, 12, 14, 20, 32, 35, 35, 35, 35, 38, 66], 'label': '5243.2.a', 'level': 5243, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [7, 107], 'level_radical': 749, 'mf_dim': 512, 'mf_new_dim': 362, 'num_forms': 18, 'plus_dim': 160, 'prim_orbit_index': 1, 'relative_dim': 362, 'sturm_bound': 1008, 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mf_twists_cc • Show schema
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id: 45568966
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 7, 'source_embedding_index': 4, 'source_hecke_orbit_code': 27021597797782651, 'source_is_minimal': False, 'source_label': '5243.2.a.g.1.4', 'source_level': 5243, 'target_conrey_index': 1, 'target_dim': 7, 'target_embedding_index': 4, 'target_hecke_orbit_code': 27021597797782651, 'target_is_minimal': False, 'target_label': '5243.2.a.g.1.4', 'target_level': 5243, 'twist_class_label': '107.2.a.b.1.4', 'twist_class_level': 107, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 45568967
{'conductor': 7, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 7, 'source_embedding_index': 4, 'source_hecke_orbit_code': 27021597797782651, 'source_is_minimal': False, 'source_label': '5243.2.a.g.1.4', 'source_level': 5243, 'target_conrey_index': 1, 'target_dim': 7, 'target_embedding_index': 4, 'target_hecke_orbit_code': 4503599660925035, 'target_is_minimal': True, 'target_label': '107.2.a.b.1.4', 'target_level': 107, 'twist_class_label': '107.2.a.b.1.4', 'twist_class_level': 107, 'twisting_char_label': '7.6', 'twisting_conrey_index': 6, 'weight': 2}
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id: 45568968
{'conductor': 21, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 7, 'source_embedding_index': 4, 'source_hecke_orbit_code': 27021597797782651, 'source_is_minimal': False, 'source_label': '5243.2.a.g.1.4', 'source_level': 5243, 'target_conrey_index': 1, 'target_dim': 7, 'target_embedding_index': 4, 'target_hecke_orbit_code': 22517998170407875, 'target_is_minimal': False, 'target_label': '963.2.a.f.1.4', 'target_level': 963, 'twist_class_label': '107.2.a.b.1.4', 'twist_class_level': 107, 'twisting_char_label': '21.20', 'twisting_conrey_index': 20, 'weight': 2}
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id: 45568969
{'conductor': 28, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 7, 'source_embedding_index': 4, 'source_hecke_orbit_code': 27021597797782651, 'source_is_minimal': False, 'source_label': '5243.2.a.g.1.4', 'source_level': 5243, 'target_conrey_index': 1, 'target_dim': 7, 'target_embedding_index': 2, 'target_hecke_orbit_code': 85568392953595568, 'target_is_minimal': False, 'target_label': '1712.2.a.t.1.2', 'target_level': 1712, 'twist_class_label': '107.2.a.b.1.4', 'twist_class_level': 107, 'twisting_char_label': '28.27', 'twisting_conrey_index': 27, 'weight': 2}
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id: 45568970
{'conductor': 35, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 7, 'source_embedding_index': 4, 'source_hecke_orbit_code': 27021597797782651, 'source_is_minimal': False, 'source_label': '5243.2.a.g.1.4', 'source_level': 5243, 'target_conrey_index': 1, 'target_dim': 7, 'target_embedding_index': 4, 'target_hecke_orbit_code': 27021597797780083, 'target_is_minimal': False, 'target_label': '2675.2.a.g.1.4', 'target_level': 2675, 'twist_class_label': '107.2.a.b.1.4', 'twist_class_level': 107, 'twisting_char_label': '35.34', 'twisting_conrey_index': 34, 'weight': 2}
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id: 45568971
{'conductor': 56, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 7, 'source_embedding_index': 4, 'source_hecke_orbit_code': 27021597797782651, 'source_is_minimal': False, 'source_label': '5243.2.a.g.1.4', 'source_level': 5243, 'target_conrey_index': 1, 'target_dim': 7, 'target_embedding_index': 2, 'target_hecke_orbit_code': 207165582892604096, 'target_is_minimal': False, 'target_label': '6848.2.a.bu.1.2', 'target_level': 6848, 'twist_class_label': '107.2.a.b.1.4', 'twist_class_level': 107, 'twisting_char_label': '56.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 45568972
{'conductor': 56, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 7, 'source_embedding_index': 4, 'source_hecke_orbit_code': 27021597797782651, 'source_is_minimal': False, 'source_label': '5243.2.a.g.1.4', 'source_level': 5243, 'target_conrey_index': 1, 'target_dim': 7, 'target_embedding_index': 6, 'target_hecke_orbit_code': 211669182519974592, 'target_is_minimal': False, 'target_label': '6848.2.a.bv.1.6', 'target_level': 6848, 'twist_class_label': '107.2.a.b.1.4', 'twist_class_level': 107, 'twisting_char_label': '56.27', 'twisting_conrey_index': 27, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 3839550
{'charpoly_factorization': [[[-8, -20, 12, 29, -7, -10, 1, 1], 1]], 'hecke_orbit_code': 27021597797782651, 'p': 2}
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id: 3839551
{'charpoly_factorization': [[[-29, 12, 69, 14, -29, -9, 3, 1], 1]], 'hecke_orbit_code': 27021597797782651, 'p': 3}
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id: 3839552
{'charpoly_factorization': [[[64, 192, 152, -28, -64, -9, 5, 1], 1]], 'hecke_orbit_code': 27021597797782651, 'p': 5}
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id: 3839553
{'charpoly_factorization': [[[0, 1], 7]], 'hecke_orbit_code': 27021597797782651, 'p': 7}
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id: 3839554
{'charpoly_factorization': [[[47, 519, 950, 361, -95, -41, 2, 1], 1]], 'hecke_orbit_code': 27021597797782651, 'p': 11}
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id: 3839555
{'charpoly_factorization': [[[1244, -3548, -4855, -1649, -1, 98, 18, 1], 1]], 'hecke_orbit_code': 27021597797782651, 'p': 13}
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id: 3839556
{'charpoly_factorization': [[[512, -1536, -32, 488, 16, -41, -1, 1], 1]], 'hecke_orbit_code': 27021597797782651, 'p': 17}
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id: 3839557
{'charpoly_factorization': [[[1636, -694, -951, 391, 137, -52, -4, 1], 1]], 'hecke_orbit_code': 27021597797782651, 'p': 19}
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id: 3839558
{'charpoly_factorization': [[[21431, -34533, 1802, 4295, -41, -123, 0, 1], 1]], 'hecke_orbit_code': 27021597797782651, 'p': 23}
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id: 3839559
{'charpoly_factorization': [[[-11828, -1896, 4927, 1077, -382, -94, 3, 1], 1]], 'hecke_orbit_code': 27021597797782651, 'p': 29}
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id: 3839560
{'charpoly_factorization': [[[-256, 320, 576, -84, -224, -45, 4, 1], 1]], 'hecke_orbit_code': 27021597797782651, 'p': 31}
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id: 3839561
{'charpoly_factorization': [[[12113, -20000, 10321, -1042, -659, 219, -25, 1], 1]], 'hecke_orbit_code': 27021597797782651, 'p': 37}
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id: 3839562
{'charpoly_factorization': [[[-724, -394, 1965, 893, -155, -82, 0, 1], 1]], 'hecke_orbit_code': 27021597797782651, 'p': 41}
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id: 3839563
{'charpoly_factorization': [[[-21856, 59040, -23568, 140, 1026, -79, -11, 1], 1]], 'hecke_orbit_code': 27021597797782651, 'p': 43}
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id: 3839564
{'charpoly_factorization': [[[30848, 30432, -14076, -2306, 1361, -107, -9, 1], 1]], 'hecke_orbit_code': 27021597797782651, 'p': 47}
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id: 3839565
{'charpoly_factorization': [[[-143149, -79775, -150, 5683, 435, -125, -8, 1], 1]], 'hecke_orbit_code': 27021597797782651, 'p': 53}
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id: 3839566
{'charpoly_factorization': [[[16736, -31888, 21232, -6064, 538, 81, -19, 1], 1]], 'hecke_orbit_code': 27021597797782651, 'p': 59}
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id: 3839567
{'charpoly_factorization': [[[123049, 86150, -2653, -9280, -1195, 111, 25, 1], 1]], 'hecke_orbit_code': 27021597797782651, 'p': 61}
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id: 3839568
{'charpoly_factorization': [[[333056, -88704, -136864, -36896, -3400, 44, 24, 1], 1]], 'hecke_orbit_code': 27021597797782651, 'p': 67}
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id: 3839569
{'charpoly_factorization': [[[1370816, 1073984, 174696, -15804, -4948, -165, 19, 1], 1]], 'hecke_orbit_code': 27021597797782651, 'p': 71}
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id: 3839570
{'charpoly_factorization': [[[-79712, 357776, 74968, -21896, -3540, 101, 30, 1], 1]], 'hecke_orbit_code': 27021597797782651, 'p': 73}
-
id: 3839571
{'charpoly_factorization': [[[19859, 5306, -6337, -2664, -13, 131, 21, 1], 1]], 'hecke_orbit_code': 27021597797782651, 'p': 79}
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id: 3839572
{'charpoly_factorization': [[[-2420672, 1427088, 554561, 25518, -5505, -395, 12, 1], 1]], 'hecke_orbit_code': 27021597797782651, 'p': 83}
-
id: 3839573
{'charpoly_factorization': [[[14123, -27103, -33866, -1107, 3053, -87, -22, 1], 1]], 'hecke_orbit_code': 27021597797782651, 'p': 89}
-
id: 3839574
{'charpoly_factorization': [[[-139424, -124544, -8368, 10036, 414, -207, -4, 1], 1]], 'hecke_orbit_code': 27021597797782651, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 7, 'label': '5243.2.a.g', 'level': 5243, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 45759373
{'hecke_orbit_code': 27021597797782651, 'n': 1, 'trace_an': 7}
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id: 45759374
{'hecke_orbit_code': 27021597797782651, 'n': 2, 'trace_an': -1}
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id: 45759375
{'hecke_orbit_code': 27021597797782651, 'n': 3, 'trace_an': -3}
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id: 45759376
{'hecke_orbit_code': 27021597797782651, 'n': 4, 'trace_an': 7}
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id: 45759377
{'hecke_orbit_code': 27021597797782651, 'n': 5, 'trace_an': -5}
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id: 45759378
{'hecke_orbit_code': 27021597797782651, 'n': 6, 'trace_an': 5}
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id: 45759379
{'hecke_orbit_code': 27021597797782651, 'n': 7, 'trace_an': 0}
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id: 45759380
{'hecke_orbit_code': 27021597797782651, 'n': 8, 'trace_an': -6}
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